Application of meshfree collocation method to a class of nonlinear partial differential equations
From MaRDI portal
Publication:443486
DOI10.1016/j.enganabound.2008.10.001zbMath1244.65149OpenAlexW2019139195MaRDI QIDQ443486
Publication date: 7 August 2012
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.10.001
radial basis functionscollocationmultiquadricgeneralized Hirota-Satsuma equationJaulent-Miodek equation
Related Items (33)
A mixed approximate method to simulate generalized Hirota-Satsuma coupled KdV equations ⋮ A shift‐adaptive meshfree method for solving a class of initial‐boundary value problems with moving boundaries in one‐dimensional domain ⋮ PROMETHEE technique to select the best radial basis functions for solving the 2-dimensional heat equations based on Hermite interpolation ⋮ A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions ⋮ Numerical approximation of the first-passage time distribution of time-varying diffusion decision models: a mesh-free approach ⋮ Unnamed Item ⋮ An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations ⋮ Numerical solution of nonlinear Volterra-Fredholm-Hammerstein integral equations via collocation method based on radial basis functions ⋮ A meshless method for solving mKdV equation ⋮ Numerical solution of nonlinear Jaulent-Miodek and Whitham-Broer-Kaup equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Optimal approximation to a class of nonlinear evolution equations ⋮ Approximate solution of second order singular perturbed and obstacle boundary value problems using meshless method based on radial basis functions ⋮ Radial basis functions methods for solving Fokker-Planck equation ⋮ Simulating free surface flow problems using hybrid particle element free Galerkin method ⋮ Radial basis functions method for solving of a non-local boundary value problem with Neumann's boundary conditions ⋮ Unnamed Item ⋮ Application of meshfree methods for solving the inverse one-dimensional Stefan problem ⋮ On the meshfree particle methods for fluid-structure interaction problems ⋮ Local RBFs Based Collocation Methods for Unsteady Navier-Stokes Equations ⋮ A meshless method on non-Fickian flows with mixing length growth in porous media based on radial basis functions: a comparative study ⋮ A computational meshless method for the generalized Burger's-Huxley equation ⋮ A meshless method for the numerical solution of a two-dimension IHCP ⋮ Numerical solution of an inverse reaction-diffusion problem via collocation method based on radial basis functions ⋮ Solving the 2-D elliptic Monge-Ampère equation by a Kansa's method ⋮ Unnamed Item ⋮ A lumped Galerkin finite element method for the generalized Hirota-Satsuma coupled KdV and coupled MKdV equations ⋮ Optimal control of a parabolic distributed parameter system via radial basis functions ⋮ European option under a skew version of the GBM model with transaction costs by an RBF method ⋮ Radial basis functions approach on optimal control problems: a numerical investigation ⋮ Numerical analysis of time fractional Black-Scholes European option pricing model arising in financial market ⋮ Numerical solution of a coupled modified Korteweg–de Vries equation by the Galerkin method using quadratic B-splines
Uses Software
Cites Work
- A meshfree method for numerical solution of KdV equation
- Multiquadrics - a scattered data approximation scheme with applications to computational fluid-dynamics. I: Surface approximations and partial derivative estimates
- New exact solutions for two generalized Hirota-Satsuma coupled KdV systems
- A comparative study of numerical solutions of a class of KdV equation
- Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
- Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method
- Bounds on multivariate polynomials and exponential error estimates for multiquadric interpolation
- Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation.
- Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics
- Analytical and numerical solution of a coupled KdV-MKdV system
- Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
- New travelling wave solutions of the generalized coupled Hirota-Satsuma KdV system
- A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
- Dynamical knot and shape parameter setting for simulating shock wave by using multi-quadric quasi-interpolation
- The parameter \(R^ 2\) in multiquadric interpolation
- Numerical solutions of KdV equation using radial basis functions
- Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
- A Numerical Meshfree Technique for the Solution of the MEW Equation
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Scattered Data Interpolation: Tests of Some Method
- Exponential convergence andH-c multiquadric collocation method for partial differential equations
- Multivariate Interpolation and Conditionally Positive Definite Functions. II
- Soliton solutions for a generalized Hirota-Satsuma coupled KdV equation and a coupled MKdV equation
- Unnamed Item
- Unnamed Item
This page was built for publication: Application of meshfree collocation method to a class of nonlinear partial differential equations